What is the derivative of (5x+2)^7 ?

The derivative of (5x+2)^7 is 35(5x+2)^6

What is the first derivative of (5x+2)^7 ?

The first derivative of (5x+2)^7 is 35(5x+2)^6

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derivative of

(5 x + 2)^{7}

35 (5 x + 2)^{6}

Solution steps

\frac{d}{d x} ((5 x + 2)^{7})

Apply the chain rule:

7 (5 x + 2)^{6} \frac{d}{d x} (5 x + 2)

= 7 (5 x + 2)^{6} \frac{d}{d x} (5 x + 2)

\frac{d}{d x} (5 x + 2) = 5

= 7 (5 x + 2)^{6} \cdot 5

Simplify

= 35 (5 x + 2)^{6}

\frac{d}{d t} (t^{3} + 7 t^{2} + 24 t + 12)

2 f (x) + x^{2}

y = 3 x^{10}

\frac{d}{d x} (a + b^{1} x^{1} + b^{2} x^{2} e)

sec^{2} (3 x^{2} - 7 x + 4)

What is the derivative of (5x+2)^7 ?
The derivative of (5x+2)^7 is 35(5x+2)^6
What is the first derivative of (5x+2)^7 ?
The first derivative of (5x+2)^7 is 35(5x+2)^6